Vouchers are controversial enough on their own—and certainly were during the Utah referendum—without being linked to polygamy (though associated with the Mormons, polygamy is illegal and shunned by the Mormon Church).

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Some people suggest, seemingly with some justification, that Mormons "still teach polygamy as a tenet,(but) it is not practiced today because of the laws against it."
In other words, many Mormons, including many of their leaders, may still believe in polygamy, and they may be acting disingenuously when they state otherwise. As a bystander, that reasoning seems to be at least plausible given that
1. there are still a significant number of Mormons practicing polygamy,
2.a president of the Mormon church practiced polygamy as late as 1945
3. prominent Mormon leaders fought for the right to polygamy in the 20th century, and
4. Joseph Smith, the founder of the Mormon church, apparently stated the quote shown below.
Now of course, we never know what is in someone's heart, but it does seem plausible to suggest that many Mormons may yet believe in the righteousness of plural marriage.

"And again, as pertaining to the law of the priesthood—if any man espouse a virgin, and desire to espouse aanother, and the first give her consent, and if he espouse the second, and they are virgins, and have vowed to no other man, then is he justified; he cannot commit adultery for they are given unto him; for he cannot commit adultery with that that belongeth unto him and to no one else.
62 And if he have aten virgins given unto him by this law, he cannot commit adultery, for they belong to him, and they are given unto him; therefore is he justified.
63 But if one or either of the ten virgins, after she is espoused, shall be with another man, she has committed adultery, and shall be destroyed; for they are given unto him to amultiply and replenish the earth, according to my commandment, and to fulfil the promise which was given by my Father before the foundation of the world, and for their exaltation in the eternal worlds, that they may bear the souls of men; for herein is the work of my Father continued, that he may be glorified."